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I had like 10 EQ inquiries when I got approved for the Freedom. I think you'll be fine and if recon doesn't work, you can always try to get in with Chase through another card like Amazon, work with that a few months, then try again and close that card out and consolidate the limit. I'd also look into getting CSP at that time too because it goes really well with a Freedom too. The more history you have working with Chase, the easier it is to be approved for their other cards. I got in with them through their Southwest Airlines Plus card and they gave me $5k right off the bat with that one.
Not sure. The Freedom was my very first line of credit, a few months ago. I applied at my normal Chase Bank, and they told me that having over 10k in a chase checking/saving account definitely helped, if only to show that I was a dedicated customer.
It got me my foot in the door CLI of $600; let's see what it will end up to be in the coming months. But OP, why so many new credit lines now? The ones you have open should be plenty for building up your score, right?