The new Chase card dings you twice: once for the HP inquiry and once for the new account, which reduces your average age of accounts. Also, if it reports with a balance, it might ding your score a third time. For example, my score dropped six points when a $75 balance reported on my BOA card, whereas it's usually $0.
The Amex CLI shouldn't negatively impact your score because that is generally a SP inquiry. The increased credit available might--but won't necessarily--positively affect your score; it depends on the utilization that was reporting on that account before the increase and whether the utilization percentage is now reporting lower.
The SP for the new residential lease and cable account shouldn't make any difference.
FICO Scores (MARCH 2016): EQ 829; EX 825; TU 828
AmEx BCP $25,000; AmEx Platinum (NPSL); Barclaycard JetBlue Rewards $5,000; Bank of America Cash Rewards $27,500; Chase Sapphire Preferred $33,700; Chase Marriott Rewards Premier $15,000; Chase Freedom $12,000; Citi Prestige $30,500; Virgin America Premium $25,000; The Home Depot Card $20,500; Capital One Platinum $15,000
