In order,
1) tried to start the car. It wouldn't turn over. Lights and stuff worked tho
2) tested the battery with car off. 11.28V
3) tested battery negative nut and alternator lug, car off, 11.28V
4) jumped it with someone else's car. Tested battery negative nut and alternator lug. 11.25V. Car was running.
5) shut the car off. Tried to start it 2mins later and it wouldn't turn over.
So I guess that battery has reached the end of its life? Is 11.28 volts not enough to get a car going? Not sure how to test CCA unless I went to the auto store in town. My multimeter doesn't test DC or AC volts above 10, and I thought car batteries were usually in the hundreds, like 500-900 CCA somewhere.
Your battery is not the culprit of your issues based on the info you provided above. It may be worn out and in need of a replacement, but #4 above means your alternator is bad or you have a wiring issue. If your battery was the issue and the alternator and wiring were good, then it would be charging in the 14-16 range. Comment 4 means you NEED an alternator if you charging light in the dash is functioning.
Regarding your question of 'is 11.28 volts not enough to get a car going', the answer is yes and no. Voltage plays a very small role in getting the starter to turn the motor over - amperage (power) is what turns the motor over. The only way, that I know of, to check a battery's amperage is to load test it. Obviously you've discovered that 11.28 volts wouldn't start your motor, but a good battery (with plenty of amps) will start it at 10.5 volts. There is a correlation between amps and voltage in a car charging system due to how the system is designed and functions, but not in most other situations. Think about a little 9 volt dual post battery that runs bunches of SMALL handheld electrical devices. If you hook two of them up in series, then you have 18 volts, but obviously they will not start your motor. Amperage is what is needed. Any way - enough of that.
When you take the alternator out, check all connections and wiring at the alternator, starter, block, and battery. Repair anything that is loose, overly corroded or melted. Good luck - Jim.
p.s. - do you have an idiot light or voltmeter in the dash?