I wouldn't add any new fish until your cycle is finished and your water parameters have been stable (ammonia = 0, nitrite = 0, nitrate less than 20) for at least a couple weeks. An algae bloom is normal at this stage, you just have to stick through it. Once your parameters are stable you can add a cleaner crew too, they will help with the algae also.
What will also help the algae is ensuring that you have sufficient circulation and current. Especially for the red slime. Increase the water movement in the areas where the slime is showing up and it will have a hard time establishing itself. You may also want to get a phosphate test. Phosphate in your water will lead to algae problems.