To having or not to having?

Hello,

I'm rusty with SQL and I've started to practice it again but I'm falling
on this issue.

The problem:

Extracting rows from 'b' table trapping min() of a calculated value
"days" on 'a' table and a parameter.

SELECT b.*,
$1::date-a.sincedate AS "days"
FROM b, a
WHERE pintime BETWEEN $2 AND $2::interval+'00:01:00'::interval
AND b.a_id=a.id AND a.genre='F' AND description ~*'35$'
ORDER BY $1::date-a.sincedate ASC;

attached there is the full example, data, creates and inserts for it.

$1 can by any date (now() for example is good enough)
$2 is a time interval (10:00 in the example).

I thank you in advance for any answer.

Bye, \ferz