When you say "chain slips" - do you mean pedals & chain turn, but back
cogs (& wheel) don't turn ?
If it's a old fashioned freewheel rather than a cassette (and it could be on a cheap BSO) then I'd suspect the freewheel is on it's way out (or was so badly lubricated in the first place that the pawls are not moving). Problem often appears on a single gear, then spreads to others, although usually more prevalent in cold weather.
If you can take the back wheel off, remove the Q/R skewer if there is one- and compare what you see with the four photos
here
Freewheels can be a bitch to remove - although after only 100 miles it might not be too bad. Cassettes are easy, if you have the right tools.