The cable car will not be operated in November or April. All trails are officially closed due to snow. Reaching Oeschinensee in November would be possible by foot only, on your own risk.
Please have a look in the live status about opened facilites around Oeschinensee: https://www.oeschinensee.ch/en/info/
Timetable and opening times of the region according to the opening time of the cable car: https://www.oeschinensee.ch/en/gondelbahn/