Straight answer
Do I need a website if I already have a Facebook page?
Short answer
Yes, you definitely do. Facebook helps you stay in touch with customers you already have. A website, plus a free Google Business Profile, is what helps new customers find you on Google.
When someone searches your exact business name, your Facebook page might show up. But when they search for what you do, like "plumber near me," Facebook doesn't help much. Google looks at your website and your Google Business Profile to decide who pops up.
Without a website, you'll be way down the list.
I'll build your website and help you set up your Google Business Profile so the two work together. The website is $1,000, done in an afternoon.