That is really a moot question as it would take a bit of research to figure out what "the lot" is as you photo does not show all the information needed the make a proper assessment of value.
The silver eagles to me are silver value. The other coins can all be looked up. The basketball cards while they can be looked up, I don't see the rare Topps Jordan rookie card. Just a bunch of other Jordans. That hobby crashed and those cards probably aren't worth what they were worth 25 years ago. One is a Fleer 92 "League Leaders". Which is not as good as just a plain MJ. Two of them are 89 and 90 "Hoops" cards which I never heard of. And the collegiate one is a series by Coca Cola. Which is like when you get a card in a box of Cheerios or something. (To me). On the cigarette baseball cards Ty Cobb. The first card is creased. And they both have rounded corners which is common. But it affects the grade.
$45 at most ? Think of the work someone has to go through to separate, research, do writeups and put for sale. If they own a building (coin store) then they have the over head with that of electricity, city taxes, etc. If you want to maximize your profit, then you should sell it yourself as you may not calculate your own labor into the end result profit. This model exists in about any other thing ppl want to sell not just coins and stuff.
That's your answer !! Split up your bundle by yourself, and auction each item by yourself. You'll maximize profit and only take up your time and not have to worry about overhead and stuff. I had to look up the 1908 Indian just now ... took my own time and no one paid me for it. To maximize profit you have to sell to the Buyer/Collector. Not an intermediary dealer.
I'd break them up. I have no clue about the basketball cards. The 1908-S and 1859 IHCs should bring around $200 for the pair. The 1904-O may get you $40 and the other silver bullion value.
I'm not so sure. I have three of these, all in about the same condition, but all were less than $150.
Looking at the Great Collections auction archive the most recent AU53 1908-S brought $160, the 1859 in XF45 $69, and the MS64 1904-O dollar $89.
I'm with the "break it up" group. You really have 4 different collections going on there: US coins (& bullion - the ASE's), an ancient, basketball cards, & baseball cards. So considering the ASE's separate, actually 5 categories. I think few people do all 5 of those. JMO.
If you are going to sell on ebay, consider auctioning each item separately, and offer to combine shipping if someone buys more than one item. Start with a low minimum bid (like $.99), and let the buyers do the work of analyzing the value for you. For items of lower value, combining them into a lot might make sense.
I know zilch about baseball cards, but I’d at least break them into coins and cards lots. I agree with @Clawcoins ; try to sell them separately and cut out the middleman.