2 suitcases and a carryon is no problem.
Most likely, you will not be asked about anything.
They will make you put your suitcases on the conveyor belt thru the x ray machine, and then, maybe even open one and desultorily paw thru it, but unless you have duplicates of obviously brand new electronics, chances are they wont even bother with a question.
I have carried in 2 suitcases each for both kids, me and my wife, 8 total, plus some carryons. No questions. I have brought six foot long 1 foot diameter cardboard tubes with rolled up paintings in em, knocked down furniture, stereos with speakers, footstools, 4 sets of sheets, 2 shower curtains, and a half dozen towels, a complete knocked down oval shower curtain bar that is 7 feet by 2 feet when assembled, wireless routers, kitchen knives and utensils, a complete set of pots and pans, lots of hand tools, books, CD's, a mixmaster, 6 pounds of coffee, and all kinds of other really wacky stuff, and never a question.
(I often build furniture in pieces up here, and take it down in my luggage, to be assembled and added to in BA, as I have a complete fabrication and machine shop up north, and a small apartment in Argentina.)