In the 110cc scooter space, we would recommend the TVS Jupiter because it is practical, frugal, within your budget, and in its latest avatar, also looks rather snazzy. In the 125cc scooter segment, the Suzuki Access or Honda Activa 125 would be our picks - both are very refined, comfortable, and have the practicality expected of a scooter. The interesting thing is that Jupiter weighs 106kg, which is the same as the Access, and the Activa is just 1 kilo heavier, at 107kg. So, weight should be a non-issue.
Considering your limited usage and 1L budget, the only electric scooter that we would recommend is the TVS iQube 2.2 because it is relatively light at 110kg and also one of the more affordable options.