Eris bounty: kill the 3 sword nights or kill hive with sword. Go to the first Eris mission on earth and get on your speeder. Blow past all the trash mobs and into the building. Continue until you find the sword guy kill him orbit out and zone back in again 2 more times if you have the kill 3.
If you have kill hive with sword just grab the sword and continue there is more than enough further in the mission to do this once.
Eris bounty rapidly mele 7 scrubs: go to first moon mission. Finish first checkpoint that gives you speeder. Go to second checkpoint. Before starting make sure you are wearing gear the speeds up your mele. Start the event and stand right in front of the door. If you don't get it the first time just die and try again.
im sure everyone has some more helpful tidbits that will help everyone speed this process up so please share or correct any mistakes I've made. Hope this helps. The kill 3 sword guys my way should save you about 30 minutes each time.