I would try turning off the air conditioner and connecting to the wireless connection and if that works I'd turn on the air conditioning to see if you get knocked off. If you don't get knocked off then your air conditioning is probably not the problem. If you have a cordless phone I'd try making a call while connected to the wireless connection to see if you get knocked off though if it was the phone it would be weird to get knocked off for 2 hours. Finally I'd try changing the channel of my wireless connection to 1 for awhile then 11 to see if your problem gets better. Troubleshooting can go on for awhile so it really depends how much work you want to put into it and the problem may or may not get fixed.
I've seen homeplugs implemented with limited success but for the most part I don't recommend them unless you don't have any other option. Your connection speed is very slow and they're difficult to troubleshoot. Maybe give the stuff above a try and we'll see if you need to get a homeplug at all.
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