Two should not be any kind of showstopper in this climate.
The IR isn't a big deal, since you're new to aviation at that point and the GA training environment is pretty inconsistent.
135 can also be inconsistent, and that's well known.
Get professional interview prep so you know how to address this when the time comes. Basically, take full responsibility, don't blame others or the circumstance, succinctly tell them what you learned and how it has made you a better pilot, then shut up.
You do want to establish of a track record of training success, perhaps at a regional with a known quality program? That should be consistent and predictable. Don't fail anymore rides, so maybe avoid mon n' pop 91/135, fly-by-night 121 cargo, etc. Do the research in advance on the training program for any future job you consider.