I created an application to automate the work of instacart shoppers work (gig workers) can I post an ad with their name in it?

As noted, you are getting into several areas including copyright, trademark and publicity and privacy rights. You can always refer to another brand...

How do I write under a pen name without having my identity revealed?

There is no formality to doing this, but you might find some guidance by researching how others have approached it. You can file a copyright...

This may be considered a trademark infringement because even if you are not using the actual trademarks you are using the trade dress (color...

Using another's mark descriptively like in cases of comparative advertising is usually fine. In general, you are free to use another's trademark...

That sounds like infringement to me. You are copying, editing the distributing someone else's content. If I am misunderstanding you maybe you...

How much does a Copyright cover? Do I need to apply for several?

Any creative expression will be covered by copyright law automatically. Then you register the work with the US Copyright Office so to perfect your...

In general, you are free to buy an item then lend some artistic contributions to it and resell it. A good example might be taking a generic denim...

I don't think I'm clear on your intentions. How are you altering their products? Before you commit to anything here, I suggest that you consult...

This isn't going to be an issue from a trademark perspective save for the fact that the flag cannot be registered, so that could be an issue for...

I don't this can be addressed here. There are far too many variables. If you have concerns, I suggest that you consult with a lawyer in private...