If you want to use what you have, try adjusting the limit screws. Screw the H in until the second to smallest cog is the natural resting point for the derailer. Then screw in the L screw until the chain quits hopping into the plastic disc. This will give you one less gear, but allow you to start riding sooner.
More details here. https://www.parktool.com/blog/repair-help/rear-derailleur-adjustment#article-section-2
More details here. https://www.parktool.com/blog/repair-help/rear-derailleur-adjustment#article-section-2