Yes, that's what I meant by a "proper form" but clearly it wasn't phrased with any level of eloquence.

To build on that: having the form split up is a bad idea. The sidebar serves no purpose really and I recommend all the form functions be collected at the top and bottom of the results.

I'd also rename the Go button to something more sensible like "Search" or "Find". Go has very few good use cases, and even then it's dubious.