Preseason Fine Blotter: Yes, they count against the Club Remittance numbers...

• Cleveland Browns: Denzel Ward, $10,026 for taunting.
• Cleveland Browns:  Jarvis Landry, $13,369 for unsportsmanlike conduct.
• Atlanta Falcons:  Ito Smith, $26,739 for lowering his helmet to initiate contact (blocking).
• Indianapolis Colts:  Yes, this counts, even though the player was cut after the game.  Shamarko Thomas is the answer to a trivia question: Thomas is the first player to be ejected from an NFL game for the new helmet rule.  He was seen as one of the first cuts the Colts were going to make, and they did just that after Week 1 of the pre-season.  He's also fined $26,739 for the hit.  Thomas was picked up by the Denver Broncos (the fine still counts against Indianapolis, as the NFL made clear when it announced the Club Remittance policy).
• But Denver did have a fine, and it was also Helmet Rule:  Justin Simmons, $26,739.

(Some courtesy of NBC's Pro Football Talk.  Others found researching Twitter, etc.)

It is not known at this point whether there were more fines (preseason games usually don't get these kinds of fines actually reported) for Week 1 of the preseason.

Perhaps a more important number, and the question being whether these are fined as well:  As of the first three Week 2 preseason games (20 in all), there have been 32 penalties for the new helmet rule.  (When I was in Las Vegas last weekend, I saw four Friday night alone in just two games.)

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And we have the new 2018 Club Remittance Policy (NFL PDF file).  And several more teams are going to have to cut a check, because of the multi-suspension rule.

I don't know if it was this year or last, but the new policy puts the penalty in at two suspensions, and graduates the maximum penalty for suspensions.

• Two suspensions is 15% of the lost salary, capped at $150,000.
• Three is 25%, capped at $250,000.
• Four or more is 33%, capped at $500,000.

Also, the numbers are in for the Fine Blotter totals:

• Phase Two kicks in at $140,395 -- team is fined $50,000 at that point.
• Phase Three kicks in at $210,587 -- team is fined $25,000 at that point, but then all fines after that are dollar-for-dollar. 

Since the NFL now penalizes for all multiple suspensions, a number of additional teams are penalized for multiple suspensions:

• New York Jets:  Already covered, but the wrong percentage applied in the previous post (as noted there, the previous rule was used).  Their Club Remittance hit on lost salaries of $157,500, $74,066, and $88,235 is a fine of $79,800. 
• Carolina Panthers (who now have to be declared the winners of the "first suspension fine" pool, 10 days before the Vikings got their second):  Thomas Davis, in receiving his second suspension (a 4-gamer for drugs), forfeited over a million dollars in salary, so Carolina's hit is at the capped number unless they get two more.  They are fined $150,000 as of this point -- the fine goes to $250,000 automatically if they get a third.  Kent Taylor was also suspended -- was cut shortly thereafter.
• Minnesota Vikings:  Kentrell Brothers will lose $148,235.  Cayleb Jones will lose $112,591 -- so the Vikings will be fined (so far) $39,123.
• A correction:  The New York Giants have only one player under the rule.  Akeem Ayers was signed to a one-year contract last year, and is a Free Agent at this time.
• New Orleans Saints:  Capped out at $150,000 because Mark Ingram forfeits over $1.2 million in salary.  Josh Huff:  $82,941.
• San Francisco 49ers:  Victor Bolden loses $130,588.  Reuben Foster loses $241,586.  So the 49ers are fined $55,826.  Foster, however, is also facing a domestic violence claim, and, if proven, he's gone.