We just returned (Feb 22) and saw lots of mosquitoes. Our son was bitten the most (tender young thing), and we were spotted somewhat. Do bring your bug spray. We bought some coils to burn at night, but it didn't seem to help.
Luckily, we didn't find the bites to itch or sting.
We forgot to bring the spray when we went to the far South end of the island during the DAY, and there were a number of curious biting flies (the dumpis at that end). So, bring your lotions with you, or just use a sun screen with repellent in it (there's one made for kids, so it should be pretty safe).
The winds didn't seem to matter.