first one, new modality: reinforcements should occur for all players at the same time, after the whole round. that will make it fairer to last players, and will force players to consider whether overattacking or not, (wich will make interesting games in a new manner).
second one (not to be considered linked to the first one, but independently): not reversing the order, but shifting the order (is it applicable?) i mean, first round red start, second round red is last, and second player becomes (that is blue). It's not quite reversing the order. just shifting it a little bit.