Sounds like an awesome trip! Keep your day plans loose and select which thing you'll do based on weather and webcams that morning (MeteoSwiss, MeteoBlue & Bergfex). I'll list day activities based on weather....
BEST WEATHER DAYS (in order of priority to pick for nicest days)
**Murren > Schilthorn > Birg > hike roundtrip Birg/Grauseeli/Birg (bring hiking poles) > Murren (you haven't said if you're a good hiker, but if you are you can continue from Grauseeli to the Wasenegg Ridge and down to Murren but you need to be okay with your knees experience lots of downhill - it's an amazing hike if so)
**Murren > Allmendhubel > Northface trail counterclockwise (allow more than 2.5 hours and stop at Suppenalp for lunch (open Wed-Sun)) > Gimmelwald > Murren
**Murren > Grutschalp > Lauterbrunnen > Wilderswil > Schynige Platte > Oberberghorn trail (allow more than 1.5 hours) > Wilderswil > Lauterbrunnen > Grutschalp > Murren
**Murren > Grutschalp > Lauterbrunnen > Wengen > Mannlichen > walk to Kleine Scheidegg if trail has opened by then > do a fun/beautiful roundtrip ride on the Eiger Express since you have the pass (train from KS to Eigergletscher/Eiger Express RT/train Eigergletscher to KS) > Kleine Scheidegg > continue walking to Wengernalp > trail to Wengen (dinner) > Lauterbrunnen > up to Murren via Grutschalp or Stechelberg depending on time of evening
**Murren > Grutschalp > Lauterbrunnen > Interlaken Ost > Brienz > Brienzer Rothorn (do this before boat & make sure to get seat reservations for your time or you won't get on) > Brienz > boat ride (possibly do Giessbach Falls if you want, but skip Iseltwald, it's become a Netflix show tourist trap) -- you won't have time for Ballenberg on this day, just do the boat ride leisurely > Interlaken Ost > Lauterbrunnen > Grutschalp > Murren
**Murren > Grutschalp > Lauterbrunnen > Zweilutchinen > Grindelwald > Grindewald First > Bachalpsee > First > Grindelwald > if you have time maybe do Pfingstegg but don't prioritize > Zweilutchinen > Lauterbrunnen > return to Murren via Grutschalp or Stechelberg depending on time
NOT SO GREAT WEATHER DAY
*Murren > Grutschalp > Lauterbrunnen > Interlaken Ost > Brienz > bus to Ballenberg > Brienz > Interlaken Ost (Harder Kulm if cloud cover isn't too much and you want to mess with it, it's very crowded and inferior to views you'll see elsewhere) > Lauterbrunnen > walk the Lauterbrunnen Valley (waterfalls) > Stechelberg > Gimmelwald > Murren
In terms of doing Oeschinensee on your arrival day, in order to make this a reasonable choice you need to leave Chamonix early in the morning to allow yourself around 6-7 hours for the Kandersteg > bus or walk to cable car > ride cable car > walk down to lake > hike > back up to cable car > bus or walk to train station (20 min) > Kandersteg -- it's a lot of logistics to line up and you only want to mess with it if it's a very nice day, because if it's cloudy the lake won't look like all the instagram photos you've seen of it. We stayed up there on the lake for a week a couple summers ago and only had 1 or 2 days where the water looked like what you see in photos and the sun sets early there because of the steep cliffs so you want to be hiking earlier in the day.
Have a great trip!!