This is a channelized Amateur Radio Service transceiver designed for use in the 28Mhz / 10 meter band. Someone "hacked" it to transmit in the 27 Mhz / 11 meter Citizens Band. This modification has voided the Connex warranty (if it was still covered). There is little the end user can do to "fix" this radio. The components on the circuit board are very small, and manipulation requires special tools, anti-static precautions and specialized test equipment to adjust and verify correct operation.
I believe that there is an issue with the PLL circuit used for tuning. The only way to get this radio working properly is to bring it to a licensed radio repair shop - as they have the tools and skills to do the work correctly.
If you do not already know, modification of any radio to work in CB frequencies and any other it was not designed to work in before; is illegal in the US (and other places too most likely). Assuming you're in the US; all radios are "Type Accepted" by the FCC before they can be sold. Police radios in Public Safety Services can not be used on Ham frequencies in Amateur Radio Services, and vice-versa. This applies to all radios in all the different radio services, unless the radio carries "Type Acceptance" for more than one service. Furthermore, this radio puts out 2.5 times the legal limit (even before "peaking") for transmitters in the Citizen's Band Service. The rules are clear, and they come with stiff fines and / or prison if caught. A radio operating out of its intended service can cause problems far beyond what the operator is aware of - and any party adversely affected would likely call authorities for relief. Of course, if you paid to have this modification done, you were probably told all of this ahead of time - but there's also a chance that you were not.
I would not operate this radio until it is checked out. Obtaining an Amateur Radio Operator's (or "ham") license is easier than ever now. You do not need to learn morse code. For more information about becoming a ham, visit the ARRL licensing pages
I hope this helps and good luck!