Recharging a 11volt rechargeable battery using multiple 5volt solar panels (Size: 53*30*3mm)
Go read properties of recommended Lithium charge specs. Then compare with all that you have.

11V x 1200mAh = 13.2Wh.
3 x 5v x 30mA =  0.45W @ 15V. (Rated).
 -  3x 3V x 30mA = 0.9W @ 9V when Vbat @ 0 % SOC

Understand that the specs for charge profile on Lithium cells are :   

a) CC mode until 4.2V/cell


this assumes all cells are balanced so if string is 12.6V, no cell >4,2 which degrades MTBF. Then switches from CC to CV mode
CV mode @ 4.2V/cell must cutoff charger when Ichg reduces to 3% of 1C or &lt;0.03 x 1200mA&lt;= 36mA which your PV cannot supply
There is  a time limit spent above resting voltage at 100% SoC or > 3.8V since this also reduces MTBF exponentially with voltage. 


Normally this time from 3.8V to CV to cutoff is about &lt;&lt;15 minutes at 1A charge rate with no load to to increase capacity est. 80 to 100% SoC.  But at 20~30mA charge rate this is only 2~3% of 1.2A = 1C charge rate., so you cannot reach 4.2V in &lt; 15 min. after 3.8V



So with grossly underpowered PV charger. I suggest you limit charge voltage to 3.8V and suffer loss of maH capacity ( est.20% initially , more over time)