If you have ever "over discharged" the battery, then the battery may be bad and that may be your problem.
The recent question for you is whether battery has enough power to hover.
Hover power is much less than max power. A guess is that 10A x 4 = 40A should be enough to fly.
I have many such models and I usually fly them with 3300 20C or larger which also has max current of 66A. A 2200mah / 20C battery should work well enough to hover. Even a good 1800mah/20C should fly, but at that point, it is not good for the battery and you won't get as many flights before the battery is too old.
You list 30A eBay ESCs. If they have stock firmware, you MUST set the settings correctly. It is better to flash different firmware such as BLHeli or SimonK, but stock firmware will work if the settings are correct:
- Low Voltage Cutoff to the "disabled" or "NiCad" setting
- Slow startup OFF (or fast/normal)
One test to make is to run it without stabilization and see if motors run smoothly and with plenty power.
- take props off (really!)
- transmitter not needed
- connect USB to PC and quad
- go to GCS Output page
- click all 4 boxes ("Link" column, right side) to link sliders together
- plug the battery in, in addition to USB (FC may reboot and you may need to redo the Link step)
- click Test Outputs
- click one slider
- now you can use mouse (drag slider), or keyboard left, right buttons to slowly move the sliders
- keyboard Home key stops them and End key is full throttle, practice these...
- put props on
- put a heavy coat on to protect your arm
- grab quad tightly by the bottom
- slowly increase throttle (I use keyboard arrow keys, just hold it down to do it quickly)
- you don't need to test full power, just plenty power to hover and for say 20 seconds
- press Home key to stop motors, or just hold down left arrow key is safer, because pressing End key is full power
- Uncheck the Test Outputs box and do not save settings as it reminds you that you could.
Is it smooth and does it have enough power?
If other model flies fine, you may try using those settings. (Save settings first so you can go back.) Export from one model and import to the other.
Buy you some LiPO alarms, set to 3.6v (per cell, it measures individual cells) and leave one attached to balance connector during flight. This is good advice to always follow. It will tell you when your battery is low or if too old to supply enough power.
https://www.ebay.com/itm/1-8S-Lipo-Li-ion-Fe-Battery-Low-Voltage-Meter-Tester-Buzzer-Alarm/202276236708