If you are putting unprotected Li-ion cells in parallel, you need to balance them very carefully first.
It's not uncommon for these cells to have a very low internal impedance. Think 30mOhms or so. Unless the cell voltages are almost identical when you connect them up, there will be a very large current and the cells will die...
Inside these unprotected cells, there should be a pressure relief / current fuse. If the cell pressure increases too much or too much current is shipped, the fuse is permanently blown and the cell is dead.
The function of this one time fuse is to disconnect the load / charger before the cell catches fire. They are pretty reliable (unless of course you were daft enough to buy cheap Chinese cells), but they should be regarded as the last line of defence. You should always use an electronic protection circuit with Li-ion cells.
If you insist on doing this, please, for your own safety, this is how you should balance your cells.
1/ Charge both cells individually.
2/ Connect both cells together as follows. -ve cell 1 to -ve cell 2. +ve cell 1 to terminal 1 of 1 Ohm 10W resistor. +ve cell 2 to terminal 2 of 1 Ohm 10W resistor.
3/ Put voltmeter across resistor, set meter to mV range.
4/ Wait for 0mV on meter.
5/ Wait an additional 1/2 hour.
6/ Remove resistor from circuit, connect +ve terminals together.
If you're really unsure, work outdoors. Paralleling up cheap Chinese Li-ions isn't complicated, but if you get it wrong you could have a lithium fire on your hands.
Oh, if you ever fly with this home made pack, please let us know your flight details!