Shalom ~
Leviticus 20:13 is pretty clear on the first issue. Note that Leviticus doesn't specify that a pattern of behavior has to exist; reading the law as written makes even a one-time event grounds for punishment.
Deuteronomy 22:28-29 is pretty clear on the second issue, with respect to marriage. As for how the Muslims do it, I'm not finding anywhere in the shari'a laws where punishment is prescribed for the female unwilling to agree to such a marriage; in any case, such incidents are usually cultural and not religious in nature. Abuse of their system, though, is rampant so there's no telling who's doing what at any given time or what they're using as justification.