It could help us if you told us a little more about the waters you will be fishing and the types of cover/structure they have.
There are a lot of good choices in your price range for rods and reels. For rods Dobyns Fury (about $119 - less on sale), BPS Carbonlites or Pro Qualifiers, Shimano SLX. The Shimano SLX and BPS rods also come in combos that will save you some $$$.
For reels there are a lot of really good ones out there for $100 give or take a little. For baitcasters The Daiwa Fuego or Tatula CT, BPS Pro Qualifiers, Shimano SLX. and even some of the Abu Grcias in this price range are all very decent reels for the money.
For spinning reels Shimano Saharas or Nascis are both excellent reels for short money. The Daiwa Fuego, BPS Pro Qualifiers and my personal favorites Pflueger reels. Pfluegers from the President up to the Supreme can all be had for under $100. They are real workhorses with excellent drags, solid construction and they last seemingly forever.
Just as a general snapshot for 5 rods I would say:
(1) 7' - 7' 3" MH Fast action baitcaster as an all around multi-purpose rod.
(2) 7' - 7' 3" M or MH Moderate action baitcaster for treble hook baits like cranks or topwaters.
(3) 7' 3" - 7' 6' Heavy power Fast or Extra Fast action to use as a Flippin' Pitchn' stick. This could double
as a frog rod and for fishing various baits in heavy cover.
(4) 7' to 7' 4" Medium power spinning rod for drop shots, etc.
(5) 7' to 7'4" Medium Light Power Spinning rod for presentations with an open hook like ned rigs,neko
I'm sure others will chime in with some different options as well.
Good luck in your quest and please keep us posted on what you decide on and how it all works out for you once you get a chance to put it all to the test.