New Landlord and Rent increases

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Hi BP Community!

Long time reader and listener from afar. First time poster.

I have mostly been reading/learning about buying/investing in my first property so when I have the funds, I will be well prepared. First time poster. With that said I recently inherited a house in Los Angeles, CA from my parents and have become a new land lord. I have tried googling for answers but there has just been so many changes over the years and so many different blogs that I don't trust. I have a few questions and I hope the community can help me out. The rent is below market rate and I want to bring it up to current market rate. With expense, tax increases and insurance; it almost doesn't make sense to rent out anymore.

If I inherited the house, can I increase rent above the rent control cap since I am a the new land lord? My understanding is most of Los Angeles is under rent control but there are a few exemptions to rent increases for single family homes.

Single Family Home, there are two single family homes on the same lot and have individual house numbers and built in the 1920s. Currently living in one of the property's on the lot. Tenant has been renting since the 1990s, not sure if that matters in this situation. I'm a bit confused around the language Single Family dwellings where two or more units are on the same lot. I always thought of the two houses as separate properties.

So my questions are:

1. Does my property fall under rent control?
2. How much rent can I increase it by.
3. Are covid rules still in effect. 
4. If it is not under rent control, will I be able to increase rent to current market rate in one go or will I have to do it incrementally.
5. Inheriting the house and now a new landlord. Can I increase the rent above the rent control cap?d

Best,

Rem