Complaint sub-issue: Didn't receive advertised or promotional terms

During the first week of XX/XX/XXXX, I went to the U.S. Bank link to see if I was pre-qualify for one of their credit cards ; link below : XXXX XXXX XXXX Upon entering my information ( name, address, email, last four of my SSN and text code ), I was pre-qualify for three different cards, one of the cards was the XXXX XXXX XXXX XXXX. On that page, the terms and conditions were listed, it showed me a fixed rate and an offer ; the offer stated : Limited-Time Offer : Earn an additional 0.5 % cash back on eligible net purchases made within the first year of account opening.
{$25.00} Cash+ Bonus the first time you redeem {$100.00} or more in a single redemption. Limit one per account.
5.5 % cash back for the first year on your first {$2000.00} in combined eligible net purchases each quarter on two categories you choose. Thereafter, earn 5 %.
2.5 % cash back for the first year on your choice of one everyday category ( like gas or groceries ). Thereafter, earn 2 %.
1.5 % cash back for the first year on all eligible net purchases. Thereafter, earn 1 %.
No limit on total cash back earned.
0 % Introductory APR* for the first 12 billing cycles on any balances transferred within 60 days from account opening. After that, a variable APR, currently 19.99 % based on your creditworthiness No Annual Fee 3.This is an online offer only. New Cardmember Bonus is subject to credit approval. A one-time {$100.00} bonus will be awarded upon approval for a new U.S. Bank XXXX XXXX XXXX , and after eligible net purchases ( net purchases are purchases minus credits and returns ) totaling {$500.00} or more are made to your account within 90 days of account opening. Please allow 6-8 weeks after you have met the spend requirement, for your New Cardmember Bonus to be credited to your rewards balance. Existing and previous XXXX XXXX accounts do not qualify for the New Cardmember Bonus. New Cardmember Bonus does not apply toward account upgrades. This offer may not be combined with any other bonus offers. 

I decided to apply for the card and was approved. I took a hard pull on my credit report which I understand is normal. 

On XX/XX/XXXX, I decided to start a checking account with U.S. Bank so that I can establish a relationship with them. While on the application process, I was given the option to choose a {$1000.00} checking account line of credit for overdraft protection ( which I accepted ) and was given two offers on two credit cards with a fixed APR and fixed credit limit. I also accepted one of the two credit cards ; I accepted the U.S. Bank XXXX XXXX XXXX XXXX XXXX with {$1500.00} credit limit. Upon completion of the applications, two notifications popped up on my screen from my monitoring service alerting me of two new hard pulls on my credit report. This will now make a total of three hard pulls on my credit from U.S. Bank.
Issue # 1 U.S. Bank should not had pull my credit report twice more ( for the checking account, checking account line of credit and credit card ). U.S. Bank 's first hard pull is good for 30 days and I supposed to be able to apply for other products using that very first hard pull without getting hit with additional ones. 

Issue # 2 U.S. Bank ( after talking to a supervisor ) will not honor the {$100.00} statement credit after spending {$500.00} in the first three months. The supervisor said I had to mail in a screen shot of the offer, but the offer still exists on their website. They basically calling me a liar and said there is no such offer. They 're stating to do the same tactics as XXXX XXXX ; luring people to apply for offers and opening accounts and then turn around and deny such offers.