Can I connect Wireless Speakers to a Wireless Adapter?

OK, I'm about to connect my older speakers to an amplifier, which I intend to connect to my current older television (and then to my new TV coming in for Christmas). The amplifier also has an auxiliary port for my iPod, but I'm getting the JBL Flip wireless speaker in my bedroom for that purpose.

However, I have just learned that I can connect a wireless adapter to the amplifier, but being that wireless adapters still aren't perfected, I was wondering if I could also connect the wireless adapter to the wireless speaker via the bluetooth capabilities OR if the iPod 2nd Generation (about to be replaced) or the iPhone 5 can be connected to both the adapter and speakers simultaneously. The idea is that the wireless speaker would be doing it's job on my dresser, and the speakers hanging up can perform simultaneously on the same connection - aka not-so-wireless wirelessly connected surround sound. Is this at all possible?

It sounds like a lot in my head (especially when I already have a fully-used surge protector). Part of me thinks the Wireless speaker can only pick up ONE wireless connection at a time & won't work at all. The JBL Flip specs I have read don't specify its limitations with multiple interconnections. Another thought is that the iPhone 5 can only be connected and PLAY with only one source. I have it connected via bluetooth to multiple connections, but am not capable to play iTunes because of incompatibilities, so I'm unable to test this out, myself.

Any & all assistance/clarification is appreciated.

Yes, you can go to your local consumer electronics shops for help. The stuff there may be readily to help you with the problems you come up with here.