Hi.
I have taken anti-depressants daily since being hospitlised with a complete breakdown eighteen years ago.
My current medication is citalopram, and they suit me very well - keep me nicely balanced.
As Trinny has suggested, all anti-depressants take a good three weeks to settle into your system, and any immedaite side-effects - nausea being very common, should subside by then. If any side-effects persist, see your GP - not every prescripotion suits every condition, and you may have to experiment a little to find the ones that work for you.
I don;t know about alopeacia - I haven't got that much hair to loose to notice any difference!