Actually Citibank separated my credit card limit into two (credit limit + installment limit) more than a year ago. I noticed a huge jump in my credit limit in my Citibank credit card statement early last year, if I'm not mistaken.

However, for this recent Dell PC that I purchased through phone (had to place the order through phone because I wanted them to give me the free backup OS CD, too lazy to make a backup CD myself as it is very time consuming    ), it eats into my normal credit card limit.
No. It is not. Normally we call to ask them to waive the annual fee. I have been using Citibank credit cards for more than 3 years now and I never paid the annual fee for my Citibank credit cards (I have two).

I think you can just ask them if they could offset the annual fee and they'll probably tell you to swipe a certain number of times or amount and they'll waive it for you.

Yup, should be no problems if you regularly use the card.

Guys, my first statement is out on 05/10 but as of now, when I try to view the e-statement from Citibank Online, it says no statements available. Is this normal?

Have You Register Your Mobile no. with Citibank...???
Because U need a One-Time PIN & will be sent to Your Mobile number before You can Proceed to Step 3
Pls Refer to: 1st Time User Registeration Demo https://www.citibank.com.my/english/citi-on...overview_s.html Click to Video Mode(demo) on the Upper Right   

Btw, If U need any Assistance on that  U can Call 24-Hour Citibank Customer Service.... the No. at back of Your Credit Card

Nope, credit limit needs to be 8k at least.  They will deduct 8k from your limit and hold it till you slowly pay finish.  Means once you do the ezypay, your limit will be reduced by 8k.

Interbank Fund Transfer menu

You can pay off your Citibank CC outstanding via Citibank Online if you have saving/current account with Citibank.

Yup, just do an Interbank GIRO fund transfer from your existing bank, the account number will be your Citibank's card number.