LDS scriptures can be found here.
Members of the Church of Jesus Christ of Latter-day Saints (which I am) believe the following:
1) Yes, we believe that "resurrection" means the reuniting of the spirit with flesh. "The spirit and the body shall be reunited again in its perfect form; both limb and joint shall be restored to its proper frame, even as we now are at this time; and we shall be brought to stand before God..." (Alma 11:43).
2) We believe that all people who were allowed to obtain mortal bodies on this earth will be resurrected. "We believe man will be punished for his own sins and not for Adam's transgression" (Article of Faith 12). See also D&C 88:94-101. It is worth noting we define a difference between "salvation" (the salvation of the physical body due to Adam's fall, i.e., resurrection) and "exaltation" (the glorification of the individual). Therefore, in LDS theology, everyone is "saved" but only those who truely have faith in Jesus Christ, obey His commandments, and endure to the end, will be "exalted" to the Celestial Kingdom (a discussion of the Kingdoms is a bit beyond the scope of this answer).
3) Yes and no. Three perspectives exist in the LDS world as to "heaven" and "hell". (a) The time between death and resurrection/judgement. This is time spend in what we colloquially call "the spirit world". There is a "Spirit Paradise" and a "Spirit Prison". (Alma 40:11-14) These can be considered, respectively, heaven and hell. (b) After judgement, people are sent to (basically) one of four places: The Celestial Kingdom (highest glory), the Terrestrial Kingdom, the Telestial Kingdom, and Outer Darkness (also called "Perdition", a place with no glory). The line between Outer Darkness and the three other kingdoms can be defined as heaven and hell. This is specifically supported by the teachings of the Second Death or loss of our Second Estate (Rev 2:11; 20:6,14; Alma 12:16,32; D&C 76:30-49) which separates those in outer darkness from everyone else. Then there is (c), which is an unfortunate form of elitism in the Church, where people draw the line beneath the Celestial Kingdom. That's heaven, everywhere else is hell. It has one scriptual justification, the Celestial Kingdom is where our Heavenly Father dwells, and no where else (D&C 76:62,77). So, Spirit World, everyone is a Spirit. After judgement, no spirits.
4) We do not have an answer for this question because there is no scriptual discussion as to how spiritual children are "born." We know that those who have lived worthy of the Celestial Kingdom will have the privilege of procreation, but we know nothing (and I mean this, NOTHING) about how that happens.