yes, they are compatible while you need a pigtail cable, TL-ANT24PT.

have you turned on the power button at the back of the router? if still no result, try to contact your retailer for a replacement with your invoice.

TL-WA7510N is an access point and what the operation mode is. Do you mean you can't detect wireless network from TL-WA7510N???

yes, while the effect won't improve too much because it uses directional antenna.

TL-ANT2415D is an outdoor antenna, so you need to buy a pigtail to connect TL-ANT2415D to wireless router. Any 11n router can meet your needs. you can go to tp-link website to have a check for...

in that case, go to tp-link web site to download the proper driver. http://www.tp-link.com/en/support/download/?model=TL-WDN4800&version=V1#tbl_a Then, refer to the following link to install it...