Hi andreas
The rent a room scheme would only be applicable to the renting of the room in your property and as such you would only be taxlable on the income that exceeds the rent a room relief of £7,500.
The letting of the parking space would be a separate income source and this business could make use of the £1,000 allowance and you would therefore only be taxable on the income above £1,000.
If you have no other income then you would only be liable to pay tax if your taxable profits from both these sources exceeded the current personal allowance limit of £12,570 per annum.
Please see guidance here:
Tax-free allowances on property and trading income
Rent a room in your home
Thank you.