YES dear it will be totally safe.. I must say the places that you have decided are amazing. just keep in mind be aware of your surroundings and people. keep somebody well informed about your where abouts for the day.. and keep one number handy. that's all . Have a nice trip !!
Yeah it's completely safe. you can add Rishikesh in your trip as it's gonna be happening during holi time. Bike trip can be little risky if you hate ballons nd water otherwise it's gonna be great solo trip. but there is one con in your trip snowfall would be negligible. best of luck for that