I'll tell you why I visit a website. You can always try asking your client what their (potential) visitors are looking for. That would answer a lot of questions. And if the client doesn't know (surprise), you have a new task: research.
I want to know if you (the company) sell the product. Or, if I'm not sure what the product is, do you sell the solution.
I want to know what the product or solution costs.
Are you located in my country? Do you have an office here?
I want to know if you will ship to me, or only ship to 'Merkins. Will shipping cost an arm and a leg? Can I get free shipping? Will I get charged customs duties?
If I order at 9am, can it be here before noon?
I want to know if there'll be someone there when I call. Is there a phone number? Is there a human behind it? Does the human speaka da English (or my language)?
You're only on Facebook? Hello??
Do you do running updates? Long Term Releases? Only in beta? Can I fork you on github?
I want to know if you do installations.
I want to know if you contract out.
I want to know if there are horror stories or tales of awesome (okay, I won't find this at the website, I find this in the search engines... which is more often how I reach the web site when I'm looking for a Thingie and don't know who sells it).
Can I get it customised?
Can I cancel my order? I don't need it anymore since it's 2 months late. Can I complain about that?
It came damaged but still works. I'm willing to keep it but I want a discount. Can I do that?
I got a replacement for the broken one. How do I send the old one back? You didn't include a return slip. Which address do I send it to? Does it need all the plastic and stuff it came in?
Do I have to buy 500 of them (do they only sell B2B) or can I just buy one?
I just got off the phone with Bob and he was a total douchebag. Who do I contact?
Do you work with another company?
Sometimes I just want an explanation of what the product is and what it does exactly. I'm not looking to buy.
It's leaking some smokey purple stuff when I use it. Is this normal?
Can I throw it in the garbage, or recycle it? Is it chemical waste? The packaging didn't say/I lost it.
How long is the guarantee?
Was there a recall? When? Which models?
Do you promise fast, cheap and excellent quality? If I find that on your site, I know to avoid you.
Can you spell and deal with basic punctuation? It does matter.
Can I buy stock?
Have you been in the news recently? Did your factory leak something into my river? Is your newest model out yet? Is Apple suing you for making a product that beeps when you touch it?
What's your physical address?
It's out of stock. Can I backorder it? Or do I have to look at the newer models?
Do you carry accessories for my model?
Who started the company? What was the flagship product? Who are the competitors? (not questions as a consumer but press, journalism or plain interest)
I have a [x]. Do you accept those?
Can I sell it to you?
Can I trade it in for a newer one?
Can I donate to you?
What is your main goal? If I give you money, where does it go, specifically? How much is eaten by administration costs?
Besides this website, where can I see updates on the project? Photos?
Does that smiling girl with the earpiece really work there?