Your razor is probably fine. Straight shaving is more reliant on technique than most beginners realize. Read as much as you can of the wiki, watch shaving videos between shaves, and while shaving try to focus on your technique as much as possible. You will find your shave improving very quickly. Make sure your beard is properly prepped (probably best to overdo beard prep in the beginning) and while shaving focus on keeping the skin tight, the pressure light, and your angle right.

Of course, there is the possibility that you damaged your edge while stropping. Did you use much pressure, or just let the weight of the blade do the work?