Yes.

Electricity - a valid ECIR is required, you may have a valid one from when your place was built

Gas - you need a new one every year which means you don't have one if you have to ask.

If the house as as you describe, it'll pass both with flying colours.

Yes.

Gas - 12 months

https://www.hse.gov.uk/gas/landlords/safetycheckswho.htm#:~:text=You%20must%20ensure%20that%20a,landlords%20and%20letting%20agents%20section

Electric - 5 years

https://www.gov.uk/government/publications/electrical-safety-standards-in-the-private-rented-sector-guidance-for-landlords-tenants-and-local-authorities/guide-for-landlords-electrical-safety-standards-in-the-private-rented-sector

With many gas boiler breakdown plans you get a yearly certificate. It’s not the cheapest option but it means you can sleep soundly knowing if something goes bang it’ll be fixed quickly and you don’t have to think a lot the certificate each year