Modernized Battleground Chess

If the following things are clear, I think playing the game (say with cardboard cutouts) with someone a few times will help you discover the flaws.
1. Is there a clear goal for a player?
2. Do the rules contradict each other? 
3. Are the movement of the pieces well defined and sufficiently distinct?
4. Is there a loophole that can give a side unfair advantage or end the game too quickly without enough strategizing, provided players are rational?

As for the nukes, you did mention them, but not how they work. Also, it's true a queen could hypothetically go from one end of the board to the other in one move, there are lots of squares near it that it cannot move to. For the comparison, the pieces in-game (I assume) are moving to absolutely any square within 5 "rings" of the piece, which- even on a board of this size! -is huge; such a piece does technically have limits, but its sheer mobility means that these limits are more or less insignificant, making the piece overpowered (IMO, any piece that can checkmate by itself is overpowered); you also said nothing about making the infantry, well, exist.

1. Capture the General.

2. No.

3. Yes.

4. There is no loophole except for the nukes.

For the 5 rings, it means only 5 squares vertically, horizontally and diagonally.

Ok, that makes them a lot more balanced, then.

And for the infantry, they're weak but they appear in numbers.

For how weak they are, it would make no difference whether there was one or one hundred, they would still be insignificant; at the ABSOLUTE MINIMUM, let them move 2 squares forwards or backwards; either get them to shape up or ship out. It is literally impossible for me to overstate how badly they need reworking; we are discussing perhaps the single weakest fairy Chess piece since Chaturanga was first created, no strings attached, on a board approximately twice the size of a normal Chess board. The infantry- and, on this board, probably anything less mobile than a bishop -are unusable for any reason.

APC's and IFV's really make it sounds better but they should be able to carry infantry+make it so that we can move up to 3 different pieces each turn

I like the diversity of the armies but I just want to clarify:

1) What does the warship, guard and general do?

2) Does check exist in this variant?

3) What can we do with the nukes?

Why is there so much talk about the infantry and not the other pieces?

Because the infantry need, more than any other aspect of the game, either to be revamped or deleted.

the other pieces are unbalanced, true, but at least they can attack.

The infantry is weak because there are other pieces. /s