An A320 flight crew encountered an assortment of annoying fuel and autoflight anomalies.

Narrative

Our aircraft had a history of fuel indicator problems and discussion with gate mechanic led us to believe the problem was quite minor but pesky as it had been ongoing for a number of days. We decided dispatch with the described problem was safe so we accepted the aircraft. On climbout we selected the fuel page as the issue only seemed to happen airborne and we wanted to observe the fault and perhaps troubleshoot for maintenance. We expected to see the amber dashes appear on the right fuel quantity indicators; as in the deferral; which caused us to have just under 300 pounds of unusable fuel. What we observed was the left fuel quantity indicators flashing which signifies an imbalance of more than 3300 detected. Also; the managed climb speed went to green dot; which was parked below Vls. Vmax was also at .86 when it usually is just above .82. Regardless of cost index; climb speed would not go above green dot. We used selected speed to fly the aircraft the remainder of the flight. The right inner wing tank was also observed fluctuating +-2000 lbs. In an attempt to contact maintenance and dispatch the number two radio was found deficient and very spotty airborne. I swear you can't make this stuff up. Flight landed without incident. Plane removed from service.