Is the church today under the "New Covenant"?

Is the church today under the "New Covenant"?

A mystery saint recently asked this of Brian Kelson and this was his response with some helpful resource links:

"In the matter of the New Covenant, a reading of Jeremiah 30-31 is a great starting scripture, just let those holy words wash over you brother, and seek the Lord's peace in understanding as you read.

You might remember my series on the New Covenant, which you can review as New Covenant Christians today on this link http://www.bibleunderstanding.com/biblestudies.htm Mr Welch's booklet The Lord's Supper on the same link is very helpful.

On this link you will find articles on Covenant, in the Alphabetical Analysis Part 1 and part 8 (check the indexes for page numbers) http://www.bibleunderstanding.com/pdfwritings.htm

On this link http://www.charleswelch.net/be.htm, Vol.17 of the Berean Expositor (check index for page number) is an article Covenant and Passover, well worth the read. On the same link in Vols.16 and 42 are articles on the Covenant of Sinai, (42 includes parts 1 & 2). On the same link in Vol.21 is an article The New Covenant Anticipated. On the same link, Vol.17 is Israel's Restoration and the New Covenant."