Follow the trace to R2 and solder your wire there instead of to the trace.
The larger pad on R2 will let you solder your wire better.
You can use the same trick on all of your contacts. Follow the trace to someplace with a regular part and solder your wire there.
In response to comments:
Practice and patience.
It does work, and I've done it often.
If R2 is coming unstuck then you are getting things too hot, probably by keeping the iron in contact with the pad too long. You probably won't damage the part, but may eventually destroy the pads.
You would have the same problem (but worse) soldering to the trace.
- Tin your wire, and leave (very) small blob on the tip.
- Put the solder in contact with the pad of R2, then touch the soldering iron to the pad. The solder will melt and take a bit of fresh solder.
- Now remove the iron from the pad and let the solder solidify.
- Touch the wire to the pad.
- Put the tip of the iron on the pad.
- The solder will melt and the wire will enter the puddle of solder.
- Remove the iron but keep the wire in the puddle.
- Let the solder cool.
- Let go of the wire.