The combination of pink agate, carnelian, rose quartz, and hematite can be seen as a powerful energetic toolkit for emotional healing, grounding, and cultivating self-love and courage. 
Here's a breakdown of the individual properties and potential synergistic effects:
Individual Properties:
Pink Agate: Associated with emotional balance, inner peace, and self-love. It can help neutralize negativity and promote a sense of security and acceptance.
Carnelian: Known for its vibrant energy, boosting vitality, courage, and motivation. It ignites creativity and helps one take action towards their goals.
Rose Quartz: The quintessential stone of unconditional love, fostering self-love, compassion, and emotional healing. It opens the heart chakra, promoting receptivity and tenderness.
Hematite: A powerful grounding stone, absorbing negative energy and promoting stability, strength, and focus. It helps connect to the Earth's energy and anchor oneself. 
 Synergies:
Emotional Healing and Grounding: Pink agate and rose quartz can soothe emotional wounds and encourage self-love, while hematite provides grounding and stability during the healing process.
Courage and Self-Confidence: Carnelian ignites passion and motivates action, while hematite's grounding presence helps one remain centered and strong when facing challenges.
Balancing Action and Love: Rose quartz promotes self-love and compassion, while carnelian empowers one to take bold steps and pursue their desires with courage.
Enhanced Manifestation: Hematite's grounding influence can help manifest intentions into reality, and the combined energies of pink agate, carnelian, and rose quartz can infuse these intentions with love, courage, and emotional balance.