Yes your symptoms match. That doesn't however guarantee that it will fix your problem I'm afraid (my Linksys Wireless-Ethernet bridge will not work with my Receivers even with a 10 Mbps hub in place).

No you can't simply tell the switch to use 10Mbps and anyway it isn't the speed that is the issue, it is the auto sensing of other bits and pieces as well. Basically the Receiver doesn't wait long enough to hear back from the switch, so while the switch is still doing its auto sensing of various things the Receiver has already given up.

Possibly if you had a very fancy 10/100 switch you could tell it to turn off all the auto-sensing functionality for the port, but the switch in your
wireless bridge is not going to have that feature.