After a few minutes of resting you got up and entered next room where you found Papyrus.
"HUMAN!"-he said-"I PAPYRUS! PREPARED PUZZLE FOR YOU!".
He then pointed at ice with stones lying on it, -"YOU GOTTA SLIDE TO THE OTHER SIDE WITHOUT BUMPING INTO STONE THAT WILL..."-he said stopping for a minute-"I'M NOT SURE WHAT WOULD IT DO"
So you just started sliding trying to not bump into any stone on the way racing with Papyrus himself.
He ended up bumping into rocks a few times and when you got to the end he said -"WOWIE YOU PASSED MY FIRST PUZZLE! BUT DON'T BE SO SURE YOU WILL PASS NEXT PUZZLE"- he said laughing before jumping into bushes. You just walked deeper in the forest and founded yourself in area with another sentry station and you founded Sans in it. "Heya kiddo"-he said with his smile-"may I ask ya a question?".
You nodded and then he asked-"You know there's another human in the underground right now right?"
You shaked your head to say no and he said -"It's a bit problematic, I have twice as much job I had before".
You seemed confused so he explained-"I promised someone to protect every human who came out from the ruins and now I have to keep eye socket on both of ya".
You started walking away before he said-"Also another puzzle for ya will be made by me so at least pretend it did stop you for a while so my bro gets time for other one".
You nodded and simply left sliding on the ice down the hill, but then an dog got in your way.
"Bark bark"-Its only what you heard after it started throwing balls at you that you tried to dodge still sliding alongside it.
You tried to pet it and it jumped to smell your hand and barked at you again before staring to throw sticks at you.
After a while you managed to catch one stick and threw it back and he caught it wagging it's tail happily then again throwing balls at you again but this time you managed to catch first one and you threw it down the hill and dog started running down on ice to get it.
When you got down yourself you saw dog sleeping under a snow poof chewing on its ball happily.
You then left it alone and walked to place where you saw Papyrus and Sans standing next to eachother.
"HUMAN BEHOLD!- SANS IS THAT RUBIK CUBE ALL YOU GOT?"-Papyrus asked his brother waiting for reply.
You picked up Rubik cube from the ground and started trying to solve it.
"WOW IT ACTUALLY WORKS!"-He said and Sans replied-"Yeah I know it would bro colourful things are magnets to people, like bones to dogs".
After a while you managed to solve it to Papyrus surprise-"INCREDIBLE! YOU SOLVED THE CUBE... AND MY BROTHER GOT PUZZLE THAT WAS ACTUALLY A BIT DIFFICULT!".
Then you saw him run away and heard sans saying-"Ya could just click button on the top to auto solve it, tho I hope ya had fun pal".
You left Sans alone and started walking around the forest trying to build in snow for fun, you started making small houses from snow using sticks as window frames.
After a few minutes of playing in snow you started walking towards town, you were going to leave it and falling snow was making your view limited.
You then saw Sans standing in front of you, "Heya so my bro asked me to fight you since he's on date with other human"-He said smiling-"Let's make it a quick fight Kay kid?".
After a few minutes of thinking you just nodded and then you saw really small bone coming towards you slowly. You just jumped over it and threw snowball at Sans making him say pretending to be offended-"Hey you don't have to be so cold towards me Because I'm more skinny than you"
Then wall of blue bones was slowly coming towards you, making you uncertain what to do but you didn't moved and it did no damage to you.
"your turn"-he said smiling before you ran towards him and covered his eye sockets with tissue from your backpack-"Welp guess you defeated me kid".
He then started walking back to the town asking-"want to have lunch at Grillby's?".
You nodded again and he said-"Well I probably should uncover my eye sockets because I would want to see the answer".
He then uncovered them and you nodded again as he started walking to Grillby's again.
When you two entered it you heard him greet with everyone like with old friend's that he didn't seen in a while... Tho he probably saw them a few minutes before fight.
"So what ya want fries or burger?"- he asked giving you pictures of your only choice's.
You choosed fries and he said to someone in the kitchen-"Okay Grillby fries times two for us".
Then you saw monster made of fire bring you both fries from the kitchen and then sans asked-"ya want ketchup?"
You shaked your head making him say  before drinking from the bottle-"More for me".
Then he got quiet and said-"Kid may I ask you a question?".
You pointed thumb up to say yes and then he asked-"what was your goal to climb on the mountain? You had any reason?".
You nodded and then he asked-"What was is it? What brought you there?".
You didn't say anything making him say -"Heh sorry for asking ya don't need to tell me I just should find my nose and put it on my face not in your personal life".
He then stood up and said-"May you pay for us? Its only 10000g".
You shaked your head really fast finishing your fries slowly and he answered-"Just kidding. Grillby add it to my bill.". He then left and you followed his way and got to inn paying with money you founded while playing in snow to get rest.

So there's chapter 2 part 2. Hope it's not too bad and if any of you could point any mistakes I made. See ya soon!