3) This is especially confusing (http://dialectblog.com/2011/11/10/the-western-us-and-velars/)
"The word “English” is the one that causes the most confusion for me in IPA. I regularly see it written in IPA as /ˈɪŋɡlɪʃ/, and although that is much like RP, back in the San Joaquin Valley it’s definitely and clearly /ˈiŋɡlɪʃ/. At the very least, the first “E” and the middle “i” aren’t possibly the same vowel. I also would not call the second vowel /ɨ/, but it’s possible that I have trouble identifying /ɨ/ in my speech anyway (but the Rosa’s/roses difference helps)."
4) Evidence number 4 , A dictionary that writes it /iːŋk/
/i/ sound before "ng" and "nk"
5) YouTube /pijŋk/ not /pɪŋk/ song
Here is a typical American accent where the word "pink " is being used clearly using the /pijŋk/ . https://www.youtube.com/watch?v=Asb8N0nz9OI
6) American Heritage Dictionary Pronunciation key: https://www.ahdictionary.com/application/resources/misc/pronkey.pdf
Why is "bee" \bi\ and not \bi:\ ? Because Americans don't see the difference as a lengthening of time but as a change in tone.
Words like "pink" or "blink" and "english" should use the IPA markers /ijŋ/ ; when CLEARLY the "i" in these cases is not the /ɪ/ in pin, but CLEARLY is the /ij/ in machine or the "e" in "evening".