Tartar cannot be cleaned properly and efficiently at home. If left like that, the gums will get more inflammed and eventually recede. You need to visit a dental office where you feel comfortable and get the tartar cleaned by the dentist as soon as possible.
The stains appear normal. At least in the photograph provided they do not seem excessive or carious. But it is always better to get them checked ro rule out cavities.
Next Steps
Visit a dentist for cleaning and check up.
Health Tips
Make sure both you and the dentist are following all safety protocols required during the covid pandemic as cleaning is an aerosol generating procedure. However there are guidelines in place to do it safely so do not worry unnecessarily!