2800 watts at 12v is 233+ amps, on top of what you need to run the truck (I do not know that off the top of my head). You'll definitely need a new alternator if you intend to bring those amps up to full power for any length of time. Or do a serious battery upgrade...
Can it handle it? Yes. Can it handle it to full potential? No.
1) Not knowing the amps you will be running… 2000 and 800 is probably the peak power of the amp. As mentioned that is about 233 amps at max power. Unless you are running max you will be under 233.
2) Our trucks have a factory alternator of 100 or 125 amps depending on year model.
1) New good battery
2) Big 3 wire upgrade
3) HO alternator (Big 3 is a must, or risk frying the stock cables)
4) If you do get a HO alternator get a tune of PCM to idle at 750rpm’s, a HO alternator can stall below 750rpm’s