If your caps are like this one
http://www.mouser.com/ds/2/257/Maxwell_HCSeries_DS_1013793-9-341195.pdf
which has a 6.7A rating max to keep temperature rise under 15 degree F (page 4, and note 8 page 6), then with 1A charging you should be okay.
The time may be longer than you calculate - the cap voltage goes from 0V to 5V inverse exponentially, so charging to 5V gets slower as the cap voltage gets higher, and the voltage across the resistor decreases.
Value of resistors in parallel is 1/Rtotal = 1/R1 +1/R2 + etc.
1/5ohm = 0.2
1/125 ohm = 0.008
0.2/.008 = 25, so your math seems correct. Each resistor dissipates V^2/R = 5*5/125 = 0.2W, so 1/4W parts may get warm as charging starts but be okay as the cap charges up and current drops.