blockquote tag - quoting text
The <blockquote> tag has the same use that has the [quote] tag in bbCode, it formats the text wrapped by it so that it appears different from the rest of the post; that's usually done to let the reader know the text formatted that way is taken from another post or any other place (a "quoted" text).
The use of the tag is as simple as wrapping the text needed to appear quoted, so that this:
Einstein said:
<blockquote>Everything should be made as simple as possible, but not simpler.</blockquote>
Looks similar to this:
Einstein said:
Everything should be made as simple as possible, but not simpler.
br tag for line-break
In most of cases you won't need the <br> tag, it has no equivalent in bbCode & in HTML it serves to set line breaks in text (going to the next line), in the forums using bbCode you don't need a tag to go to the next line but only to hit "Enter" in your keyboard, in bbPress it's the same & the <br> tag is optional, only in some rare cases you would be driven to use it.
Anyways, here's how it works: the <br> is a unusual tag as it doesn't need to wrap any text & doesn't have an opening & closing parts, only one part that closes itself, like this: <br />, notice the space then the forward slash "/" in the end.
Example:
This part is in the first line<br />and this in the second.
Would look:
This part is in the first line
and this in the second.