Good advice in the other replies, check out this religion from all sources , dont be afraid to ask difficult questions. Dont confuse the warmth and friendliness of decent people around you with the overall teaching and conduct of the global organization.
There is nothing to stop you covering your head if you wish, and dressing as you like. JW's require a female head to be covered only when praying before others or teaching, as a Christian man would do.
If you wish to cover always, some would find a hat or scarf that did not look like " a Muslim or an Israelite " yet would perform the same function. But that is just a suggestion. ...... you do as you like .