If I move over my previous 401k, is it going to keep that same 85$/share price, or will this change to the new market value?
Your shares are always worth their market value, it doesn't matter what you paid for them in the past. You have 116 shares. If they become worth $200 each you could sell them for
$23200, but if they go down to $50 each you could only sell them for
$5800. The fact that you paid an average of $85/share is irrelevant to any future buyer.
A transfer would involve the old plan's management company selling your 116 shares at market value and then sending the balance, minus a transfer fee (usually in the $50 - $250), to your new plan, which would then buy shares, likely of different funds, according to the allocation rules it uses or you have set for it.
Would it be better to keep this account open and not contribute and start over with a new 401k, or move the total amount over and continue contributing?
That depends on details of the old and new accounts, how much fees the management companies charge and what the fees are like on the funds they invest your money in. That should be the main factor in deciding whether to transfer the plan to your new one or not. However, there is another option you may want to consider.
Employer plans are not usually very good, except for the employer matching if they offer any (which more than makes up for a bad plan), so you're more likely better off starting a new plan from scratch (and only if you have employer matching) and transferring your old plan to a discount broker to invest it in an ETF like SCHB which tracks the S&P500 with an expense ratio of just 0.03% (compared to the 1-2% you often pay in employer plans).