Capacitor maker and series is most of the time written on capacitor.
In the case of your Radioshack capacitors, the logo tells you they're made by Lelon and then the next text tells you the series and temperature ... REA and 85c
The other visible row of text will often be 4 numbers (week and year of manufacture) or some other code (batch of production etc)
If you look up Lelon REA you find datasheet easily :
http://www.lelon.com.tw/upload/prod/154355894364.pdfYou can see it says "Standard series for general purpose" - the voltage rating alone would tell you these capacitors are just... average
You're dealing with a switching power supply, and majority of switching power supplies require LOW ESR capacitors, rated for 105c (or more, but 105c is enough)
IN this application ESR is pretty much the same as impedance - you won't find esr but you'll find impedance at 100kHz and that's what you use.
Your original capacitors are probably made by Samsung, Samwha, Su's'con or other chinese/taiwanese brands.
You need to replace original capacitors with ones that
match or exceed the voltage rating - keep in mind of diameter and height you can have
match the capacitance (in lots of situations it's safe to go next step up, capacitance + 10-20%)
get impedance at 100kHz value as close as possible to the original or a bit lower - it's ok if it's let's say 5-10% higher, and let's say up to 20-30% lower... but don't try to get absolute lowest values... sometimes the circuit can be affected if you use too good capacitors.
get current ripple value as close as possible or higher ... let's say 10% less is still acceptable, but equal or higher is recommended.
Anyway don't stress too much about it, your failure is most likely not capacitor related and harder to solve.