A: Yes, the Sun’s sign is obvious. Most people know what sign the Sun was in when they were born. Things get more complicated when you want more information, however!
Back in the day I used to calculate all my charts by hand. I learned more than I wanted to know about things like sexagisimal arithmetic and ephemeris charts and house cusp tables. Boy was I glad when computer software came along that could calculate charts accurately and instantly!
So the short answer to your question is, you can’t really figure those out on your own. The Moon travels through all the signs of the zodiac once every twenty eight to thirty days, and the Rising sign revolves through all the signs every single day.
There are many websites that allow you to calculate your birthchart (www.astro.com is the best known), but it can be tricky to navigate those sites and enter the correct information if you don’t know what you are doing. If you simply want to know your Moon and Rising sign but aren’t ready to commit to a reading, contact me. Send me your birth date, place and (accurate) time of birth, and I will send you the information, free of charge.