Chelsev,
A lot of apartments communities they have the same problems with roaches, crickets and a lot of ANTS, unfortunately we live in the deset where we are surround it by different kinds of bugs and insects. I live in a house, but when we purchase the house we used to have a lot of bugs, Pest control can help (pest control goes to the communities ones at week, so call the office every week to put your name and apt.# on their weekly pest control log so pest control can go to your apartment every week for at least one month so probably you can resolve the problem),also I notice in the past that roaches travel thru the water pipes in bathrooms turbs/showers,sink and also in the kitchen sinks.
so try to buy something to put in the sinks and tubs so you can stop them to come in.
Unfortunately you can do much if you try to break your lease, since your have a lease contract they expect you to pay to break the lease if you decide to move out, then if you moved out and break your lease they send you to collections and anyway you end up paying them even more.
the floating, sorry to hear that too, they will send their maintanance people to try to fix it... good luck!
Chelsev, they will try to work out something with you even they will even suggest to move to another apartment if they can not resolve the problem, the only thing that I can tell you is stay were you are, try to speak to the manager try to keep a record of all the request, times, dates and if they not resolve to the problem, find out which management company they are under and probably you can talk to the property manager, manager.
good luck :)