Like Seasick mentioned, your "receivability" doesn't really have much to do with your setup - that's up to the sender's setup. 2 miles is way short - a handheld radio pretty much does that. What Shakespeare antenna? There are major differences in the various models. Although even the cheapie 8-footers will transmit further than 2 miles. Soldered, or not, it should go further. "Not" being soldered is actually fine - just the fact of it being soldered doesn't increase the range. Soldered is simply a more durable, longer lasting connection.
Are you sure the antenna cable is plugged into the back of the radio?
There are tests that can be done, but might as well let the installation company check it out. Based on your first post, I thought you did the install. If you want, go to Shake's website and look for their Youtube videos and FAQ's for more info (easier than my typing things!).