What to do after this? logout and reset the map or? I think a map or something dropped when I finished this maze

Also, anyone in my level want to climb to the master quest level with me? I recently started but it's pretty lonely

Just go back to town and then enter catacombs again and a new map will be ready for you to explore.

Ah fair enough! This was a easy fix
Is there anything else I need to do other than kill stuff to progress to level 71? Starting to feel kinda bottlenecked but the marketplace doesn't have more weapons (axes,swords & clubs) in my current level range with enhanced effect.. what to do?

Make an "in search of" thread saying what items you are looking for in your trade section

Already did that my guy! Sadly theres not much players on this game as diablo etc.. it's actually fun but I really need to find someone to play with asap, gets boring solo cause my gear is trash xD

Gotta invest in some gear.
Once you get good gear people will accept you into climbs.

https://forums.d2jsp.org/topic.php?t=82759999&f=74

i lay out roughly what happens in those groups here and roughly the gear you should be aiming for.
Specifically these days we generally only care about you not having garbage level 55 gear and generally a weapon every 10 levels and to be able to keep clicking, we "presume" you'll upgrade your items at some point if you join us enough.