1. In Database (.db) > Application >List: All the data are displaying Tropical aspects only. In other words we can get data for changed ayanamsa even though it is saved in Time > List
The application lists data from the saved horoscopes, it does not calculate, so if the records are tropic you have to recalculate them, you can use database - application - in / export - convert for that.
2.In Database (.db) > Application >List: Is it possible to get the aspect list what are set in Options > Planets / Aspects> Single Wheel
No it has it's own dialog.
3. In Time > List > Option > Set Ayanamsa I am not able to save ayanamsa setting even though I changed ayanamsa where I can able to save all others things like place, orb etc.
Fixed but not yet published, maybe later this day.